岡山大学環境理工学部研究報告 ISSN 2187-6940
Published by Faculty of Environmental Science and Technology, Okayama University

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The Gap condition for S5 and GAP Programs

Yanagihara, Mamoru
Abstract
In transformation groups on manifolds, it has been an interesting problem to ask whether for a given finite group G, there exists a real G-module V such that dim VP >2dimV>P for all subgroups P of prime power order and such that VH=0 for certain large subgroups H of G. This paper provides GAP programs to show that S5 does not admit such a real S5-module V.
Keywords
GAP
fixed point
gap condition
ISSN
1341-9099
NCID
AN10529213
NAID